1.
Refer to the diagram below. Which equation correctly states the Pythagorean Theorem that is true for any right triangle?
A.
c
2
+
a
2
=
b
2
B.
c
2
+
b
2
=
a
2
C.
c
2
=
a
2
-
b
2
D.
c
2
=
a
2
+
b
2
Hint
2.
Refer to the diagram below. A square with a side length of 6 inches is shown. Find the length
d
of the diagonal. Round to the nearest tenth of an inch, if necessary.
A.
12 in.
B.
17.0 in.
C.
6 in.
D.
8.5 in.
Hint
3.
If c is the measure of the longest side of a triangle and
c
2
=
a
2
+
b
2
, then ___________________.
A.
the triangle is not an isosceles triangle
B.
the triangle is a right triangle
C.
the triangle is an isosceles triangle
D.
the triangle is not a right triangle
Hint
4.
Find the length of the leg of the right triangle.
A.
12.5 cm
B.
5 cm
C.
4 cm
D.
17.7 cm
Hint
5.
Determine if the triangle is a right triangle. Explain.
A.
Yes; the sum of the lengths of the legs is equal to the length of the hypotenuse.
B.
Yes; the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse.
C.
No; the sum of the lengths of the legs is not equal to the length of the hypotenuse.
D.
No; the sum of the squares of the lengths of the legs is not equal to the square of the hypotenuse.
Hint